Find the area of circle circumscribed about a square each side of which is 10 cm

• Ans is 157.
  a circumcircle is the circle which touches all the vertices of a square.
  So diagnol = Sqrt(200) = 10 root 2.
  so area of circle = 3.14*50=157
  
• 10 years agoHelpfull: Yes(20) No(0)
• radius of it is=diameter of circle/2=5√ 2
  so area is π*50
• 10 years agoHelpfull: Yes(3) No(1)
• ANS=50pi
  
  
  
• 10 years agoHelpfull: Yes(2) No(0)
• diagonal=sqrt((10*10)+(10*10))=10 root 2
  so,radius of cirle=5 root 2
  area=3.14*((5 root 2)*(5 root 2))=3.14*50=157
• 10 years agoHelpfull: Yes(1) No(0)
• area of square=100;
  diametre of circle is=10;radius=5;
  area of circle=3.15*25=78.75 so, 100-78.7=22.3
• 10 years agoHelpfull: Yes(0) No(4)
• 2* pi* 5^5= pi*50
  
  as sides of sqr is 10, radius will be 5
• 10 years agoHelpfull: Yes(0) No(2)
• ans is 25pi
  
• 10 years agoHelpfull: Yes(0) No(1)
• area of square=10*10=100
  diameter of circle =10
  
  radius=5
  area=pi*R*r=3.14*5*5=78.5
  so the difference is
  100-78.5=22.5
  
• 10 years agoHelpfull: Yes(0) No(1)
• Note : Diagonal of a sq is always =root 2*S ,where S=side ..
  ie
  diagonal= √2 times the length of the side
  
  And root 2*s is also the value of the diameter,
  
  therefore Radius = root 2*s/2 ..ie root 2*10/2
  
  Area of the circle =pi r sq ie pi *(root 2*10/2 )sq = 50pi
• 8 years agoHelpfull: Yes(0) No(0)